计算2014²-2013²+2012²-2011²+2010²……+2²-1²
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![计算2014²-2013²+2012²-2011²+2010²……+2²-1²](/uploads/image/z/188771-59-1.jpg?t=%E8%AE%A1%E7%AE%972014%26%23178%3B-2013%26%23178%3B%2B2012%26%23178%3B-2011%26%23178%3B%2B2010%26%23178%3B%E2%80%A6%E2%80%A6%2B2%26%23178%3B-1%26%23178%3B)
计算2014²-2013²+2012²-2011²+2010²……+2²-1²
计算2014²-2013²+2012²-2011²+2010²……+2²-1²
计算2014²-2013²+2012²-2011²+2010²……+2²-1²
2014²-2013²+2012²-2011²+2010²……+2²-1²
=(2014+2013)(2014-2013)+(2012+2011)(2012-2011)+...+(2+1)(2-1)
=2014+2013+...+2+1
=(1+2014)×2014÷2
=2029105;
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